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题名:
Diassociativity in Conjugacy Closed Loops
作者: Michael K. Kinyon ; Kenneth Kunen ; J. D. Phillips
关键词: Conjugacy closed loop ; Diassociative ; Power associative ; Weak inverse property ; Holomorph
刊名: Communications in Algebra
发表日期: 2004
卷: 32, 期:2, 页:767 - 786
收录类别: 其他
合作性质: 其它
摘要: Let Q be a conjugacy closed loop, and N(Q) its nucleus. Then Z(N(Q)) contains all associators of elements of Q. If in addition Q is diassociative (i.e., an extra loop), then all these associators have order 2. If Q is power-associative and |Q| is finite and relatively prime to 6, then Q is a group. If Q is a finite non-associative extra loop, then 16 ∣ |Q|.
语种: 英语
内容类型: 期刊论文
URI标识: http://ir.iscas.ac.cn/handle/311060/1337
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Michael K. Kinyon,Kenneth Kunen,J. D. Phillips. Diassociativity in Conjugacy Closed Loops[J]. Communications in Algebra,2004-01-01,32(2):767 - 786.
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